38=4(u+6)-6u

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Solution for 38=4(u+6)-6u equation:


Simplifying
38 = 4(u + 6) + -6u

Reorder the terms:
38 = 4(6 + u) + -6u
38 = (6 * 4 + u * 4) + -6u
38 = (24 + 4u) + -6u

Combine like terms: 4u + -6u = -2u
38 = 24 + -2u

Solving
38 = 24 + -2u

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '2u' to each side of the equation.
38 + 2u = 24 + -2u + 2u

Combine like terms: -2u + 2u = 0
38 + 2u = 24 + 0
38 + 2u = 24

Add '-38' to each side of the equation.
38 + -38 + 2u = 24 + -38

Combine like terms: 38 + -38 = 0
0 + 2u = 24 + -38
2u = 24 + -38

Combine like terms: 24 + -38 = -14
2u = -14

Divide each side by '2'.
u = -7

Simplifying
u = -7

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